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Finding the Fourth Proportional to 336.44, 503.76 and 282.44

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Solution

The fourth proportional to 336.44, 503.76 and 282.44 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.44 : 503.76 = 282.44 : x
  2. Step 2: Convert to fraction form
    336.44/503.76 = 282.44/x
  3. Step 3: Cross multiply
    336.44x = 503.76 × 282.44
  4. Step 4: Simplify right side
    336.44x = 142,281.97
  5. Step 5: Solve for x
    x = 142,281.97/336.44
  6. Step 6: Final answer
    x = 422.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.